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Finding the Fourth Proportional to 7,192.89, 9,926.16 and 4,049.13

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Solution

The fourth proportional to 7,192.89, 9,926.16 and 4,049.13 is: 5,587.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192.89 : 9,926.16 = 4,049.13 : x
  2. Step 2: Convert to fraction form
    7,192.89/9,926.16 = 4,049.13/x
  3. Step 3: Cross multiply
    7,192.89x = 9,926.16 × 4,049.13
  4. Step 4: Simplify right side
    7,192.89x = 40,192,312.24
  5. Step 5: Solve for x
    x = 40,192,312.24/7,192.89
  6. Step 6: Final answer
    x = 5,587.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.